Elliptic curve data - 34596.q2

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '34596o', 'Clabel': '34596o2', 'Cnumber': 2, 'abc_quality': 0.887542930342586, 'absD': 308391752882066544, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 186, 'ainvs': [0, 0, 0, 152799, -13614487], 'analytic_rank': 0, 'bad_primes': [2, 3, 31], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 34596, 'degree': 414720, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0438442864837553968261841501', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 16, 'isogeny_degrees': [1, 3], 'jinv': [38112512, 29791], 'lmfdb_iso': '34596.q', 'lmfdb_label': '34596.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 18, -11], 'min_quad_twist_disc': 93, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.1', '62.2.0.a.1', '93.8.0.?', '186.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 8649], [3, 6, 3844], [31, 512, 36]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.45350452027952100830843133778', 'prec': 107}, 'szpiro_ratio': 4.537556240991445, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, 0, 0, 3, 0, -1, 0, 0, 0, -6, 0, -2, 0, 0, 0, 6, 0, -1, 0], 'aplist': [0, 0, 3, -1, -6, -2, 6, -1, -6, 0, 0, 10, 9, -8, 0, 0, 3, 10, -4, 15, -14, -8, 6, 12, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 34596, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '34596.q', 'trace_hash': 938561718961965802}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.016777969826312934039224885570', 'prec': 107}, 'conductor': 34596, 'gens': [], 'heights': [], 'lmfdb_label': '34596.q2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17052073451178279752197034084', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0462488141413935702636440900368389271', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': 'a', '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '34596.q2'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 1717112
    {'degree': 2, 'field': [8, -1, 1], 'lmfdb_label': '34596.q2', 'torsion': [3]}
  • id: 1717113
    {'degree': 3, 'field': [-1, 1, 0, 1], 'lmfdb_label': '34596.q2', 'torsion': [2]}
  • id: 1717115
    {'degree': 6, 'field': [-1029, -441, 84, -9, 30, -3, 1], 'lmfdb_label': '34596.q2', 'torsion': [3]}
  • id: 1717114
    {'degree': 6, 'field': [1, -3, 7, -9, 7, -3, 1], 'lmfdb_label': '34596.q2', 'torsion': [2, 6]}
  • id: 1717116
    {'degree': 12, 'field': [-104, -512, -952, -696, -216, 48, 176, 24, -6, -32, -2, -2, 1], 'lmfdb_label': '34596.q2', 'torsion': [4]}
  • id: 1717117
    {'degree': 12, 'field': [528529, 0, 260199, 0, 60270, 0, 8519, 0, 750, 0, 39, 0, 1], 'lmfdb_label': '34596.q2', 'torsion': [3, 3]}
  • id: 1717119
    {'degree': 18, 'field': [-27, 0, 0, 243, 0, 0, 864, 0, 0, 1053, 0, 0, 234, 0, 0, -27, 0, 0, 1], 'lmfdb_label': '34596.q2', 'torsion': [6]}
  • id: 1717118
    {'degree': 18, 'field': [36366984, -26862624, 24511464, -25893360, 21355848, -10006740, 249666, 187164, 143532, -155883, 111153, -21681, 16648, -1836, 1053, -75, 45, 0, 1], 'lmfdb_label': '34596.q2', 'torsion': [9]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 812020
    {'conductor': 34596, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '34596.q2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 812021
    {'conductor': 34596, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '34596.q2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 812022
    {'conductor': 34596, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '34596.q2', 'prime': 31, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1895150
    {'adelic_gens': [[1, 0, 6, 1], [181, 6, 180, 7], [4, 3, 9, 7], [28, 153, 83, 179], [3, 4, 8, 11], [59, 180, 177, 167], [1, 6, 0, 1]], 'adelic_image': '186.16.0.?', 'conductor': 34596, 'lmfdb_label': '34596.q2', 'prime': 0}
  • id: 153850
    {'conductor': 34596, 'elladic_image': '3.4.0.1', 'lmfdb_label': '34596.q2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 34596.q does not appear in ec_padic